Pith Number

pith:AFM22XDU

pith:2008:AFM22XDUJBNN6XQNCWHJIPMHH6

not attested not anchored not stored refs pending

Factor complexity of infinite words associated with non-simple Parry numbers

Edita Pelantov\'a, Karel Klouda

arxiv:0812.0164 v1 · 2008-11-30 · math.CO · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFM22XDUJBNN6XQNCWHJIPMHH6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:43:31.087541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0159ad5c74485adf5e0d158e943d873fa3287dd86f99017ee98b49af97a0800d

Aliases

arxiv: 0812.0164 · arxiv_version: 0812.0164v1 · doi: 10.48550/arxiv.0812.0164 · pith_short_12: AFM22XDUJBNN · pith_short_16: AFM22XDUJBNN6XQN · pith_short_8: AFM22XDU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AFM22XDUJBNN6XQNCWHJIPMHH6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0159ad5c74485adf5e0d158e943d873fa3287dd86f99017ee98b49af97a0800d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "486365a6e911143264d657d362766107e72f704a89707f818c264dd9b69b8f03",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-11-30T19:22:38Z",
    "title_canon_sha256": "bb70d9d5db5fd740d377be4b51330c94fc7536b9529bd2b08a159d1baad98bc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0164",
    "kind": "arxiv",
    "version": 1
  }
}